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Finding the Fourth Proportional to 16,544.22, 22,831.47 and 8,990.88

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Solution

The fourth proportional to 16,544.22, 22,831.47 and 8,990.88 is: 12,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.22 : 22,831.47 = 8,990.88 : x
  2. Step 2: Convert to fraction form
    16,544.22/22,831.47 = 8,990.88/x
  3. Step 3: Cross multiply
    16,544.22x = 22,831.47 × 8,990.88
  4. Step 4: Simplify right side
    16,544.22x = 205,275,006.99
  5. Step 5: Solve for x
    x = 205,275,006.99/16,544.22
  6. Step 6: Final answer
    x = 12,407.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.